Question

A cylindrical water tank has a radius of 6 feet and a height of 20 feet. A larger tank with the same height has a volume that is 3 times the volume of the smaller tank. What is the best approximation for the diameter of the larger tank?

Answer 1

Answer:

Radius of large cylinder $= 10.39 feet$

Step-by-step explanation:

Volume of the larger tank is three times the volume of smaller tank

Volume of smaller tank

$= \pi r^{2} h\\= (3.14) * 6^{2} * 20\\= 2260.8 ft^{3}$

Volume of larger tank

$= 3 * 2260.8 ft^3\\= 6782.4 ft^3$

Or it can also be written as

$\pi r^{2} h = 6782.4 ft^3\\(3.14) * ( r^2) 20 = 6782.4 ft^3\\r^2 = 108\\r = 10.39$